Question

what is the area of the trapezoid? 7 m 7 m 9 m 11 m square meters

Explanation:

Step1: Recall trapezoid area formula

The formula for the area of a trapezoid is $A = \frac{(a + b)}{2} \times h$, where $a$ and $b$ are the lengths of the two parallel sides (bases), and $h$ is the height (the perpendicular distance between the bases).

Step2: Identify values of a, b, h

From the diagram, the two parallel sides (bases) are $a = 7\space m$ and $b = 11\space m$, and the height $h = 7\space m$.

Step3: Substitute values into formula

First, calculate the sum of the bases: $a + b = 7 + 11 = 18\space m$.
Then, multiply by the height and divide by 2: $A = \frac{18}{2} \times 7$.
Simplify $\frac{18}{2} = 9$, so $A = 9 \times 7 = 63\space m^2$.

Answer:

63